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Finding the Fourth Proportional to 309,089.61, 463,792.74 and 147,166.89

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Solution

The fourth proportional to 309,089.61, 463,792.74 and 147,166.89 is: 220,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,089.61 : 463,792.74 = 147,166.89 : x
  2. Step 2: Convert to fraction form
    309,089.61/463,792.74 = 147,166.89/x
  3. Step 3: Cross multiply
    309,089.61x = 463,792.74 × 147,166.89
  4. Step 4: Simplify right side
    309,089.61x = 68,254,935,150.38
  5. Step 5: Solve for x
    x = 68,254,935,150.38/309,089.61
  6. Step 6: Final answer
    x = 220,825.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.